414672 has 40 divisors (see below), whose sum is σ = 1098144. Its totient is φ = 134784.

The previous prime is 414653. The next prime is 414677. The reversal of 414672 is 276414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414677) by changing a digit.

414672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2463 + ... + 2625.

2⁴¹⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549072).

414672 is an abundant number, since it is smaller than the sum of its proper divisors (683472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414672 is a wasteful number, since it uses less digits than its factorization.

414672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 414672 is about 643.9503086419. The cubic root of 414672 is about 74.5707029648.

The spelling of 414672 in words is "four hundred fourteen thousand, six hundred seventy-two".